Given Numbers: 6, 18
Identify the Prime Factors of 6 and 18 by Prime Factorization:
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 18: 18 = 2 x 3 x 3 = 21 x 32
Prime Factors of 6 and 18 (collectively): 2 and 3
Least Common Multiple of 6 and 18 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(6, 18) = 21 x 32
LCM(6, 18) = 2 x 9
LCM(6, 18) = 18
Note: Since 18 is a multiple of 6, it is also the Least Common Multiple (LCM) of the two given numbers
Least Common Multiple of 6 and 18 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
